The stress components near a circular hole under remote uniaxial tension are given in equations (3.55a,...

   

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The stress components near a circular hole under remote uniaxial tension are given in equations (3.55a, b, c), on p 156. (a) Carry out the details to derive these equations from equations (h) on p 155. (b) Using equations (3.55) determine the stress components near the hole for a remote 00 0 hydrostatic stress: 0 (c) Using equations (3.55) determine the stress components for remote pure 0 To (d) Calculate the stress concentration factors for cases (b) and (c). shear stress: 3.55 σ, = [(1-2) + (1 + 3²-4ª²) cos 300 cos 20 2 0.-10. [(1+)-(1+30) cos 20] = За Tre --30%, (1-3² +24²) sin 20 = o, =c₁(1 + 2 In r) +20₂ +- (2cs +7+) cos h) cos 20 σo =c₁(3 + 2 In r) +2c₂-7 - (205 Tre= 2cs + 6cr²- - 6c7 4 -/+ (2c₁ + 12cr² + 6) cos 20 + (2 2c8 - sin 20 The stress components near a circular hole under remote uniaxial tension are given in equations (3.55a, b, c), on p 156. (a) Carry out the details to derive these equations from equations (h) on p 155. (b) Using equations (3.55) determine the stress components near the hole for a remote 00 0 hydrostatic stress: 0 (c) Using equations (3.55) determine the stress components for remote pure 0 To (d) Calculate the stress concentration factors for cases (b) and (c). shear stress: 3.55 σ, = [(1-2) + (1 + 3²-4ª²) cos 300 cos 20 2 0.-10. [(1+)-(1+30) cos 20] = За Tre --30%, (1-3² +24²) sin 20 = o, =c₁(1 + 2 In r) +20₂ +- (2cs +7+) cos h) cos 20 σo =c₁(3 + 2 In r) +2c₂-7 - (205 Tre= 2cs + 6cr²- - 6c7 4 -/+ (2c₁ + 12cr² + 6) cos 20 + (2 2c8 - sin 20

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From the given problem we need to determine the stress components near a circular hole under two different conditions of remote stress hydrostatic stress and pure shear stress We have been provided wi... View the full answer